Finding the Third Proportional to 106,931,633,443.88 and 229,386,140,696.65

Step by Step Solution

1. Step 1: Write the proportion equation
   106,931,633,443.88 : 229,386,140,696.65 = 229,386,140,696.65 : x
2. Step 2: Convert to fraction form
   106,931,633,443.88/229,386,140,696.65 = 229,386,140,696.65/x
3. Step 3: Cross multiply
   106,931,633,443.88x = 229,386,140,696.65 × 229,386,140,696.65
4. Step 4: Simplify right side
   106,931,633,443.88x = 52,618,001,543,703,304,339,456
5. Step 5: Solve for x
   x = 52,618,001,543,703,304,339,456/106,931,633,443.88
6. Step 6: Final answer
   x = 492,071,427,781.18